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Finding the Fourth Proportional to 7,206.42, 9,951.96 and 4,974.06

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Solution

The fourth proportional to 7,206.42, 9,951.96 and 4,974.06 is: 6,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.42 : 9,951.96 = 4,974.06 : x
  2. Step 2: Convert to fraction form
    7,206.42/9,951.96 = 4,974.06/x
  3. Step 3: Cross multiply
    7,206.42x = 9,951.96 × 4,974.06
  4. Step 4: Simplify right side
    7,206.42x = 49,501,646.16
  5. Step 5: Solve for x
    x = 49,501,646.16/7,206.42
  6. Step 6: Final answer
    x = 6,869.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.